Nonlinear electroelastostatics: a variational framework

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework. Zeitschrift für Angewandte Mathematik und Physik, 60(1), pp. 154-177. (doi:/10.1007/s00033-007-7145-0)

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Abstract

Different formulations of the constitutive laws and governing equations for nonlinear electroelastic solids are reviewed and two new variational principles for electroelastostatics are introduced. One is based on use of the electrostatic scalar potential and one on the vector potential, combined with the deformation function. In each case Lagrangian forms of the electric variables are used. Their connections with several formulations of nonlinear electroelasticity in the literature are established and some differences highlighted.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond and Bustamante, Mr Roger
Authors: Bustamante, R., Dorfmann, A., and Ogden, R.W.
Subjects:T Technology > TJ Mechanical engineering and machinery
Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Zeitschrift für Angewandte Mathematik und Physik
Journal Abbr.:ZAMP
ISSN:0044-2275
ISSN (Online):1420-9039
Published Online:23 March 2008

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